Abstract: Based on the concept of energy concentration and dissipation, it was proposed to set the damping story on one tower of the connected structure to form a connected structure control system with energy-dissipation story. By means of the D'Alembert principle, vibration differential equation of the system was derived and the optimal parameter characteristics and damping effects of three different connected control systems were studied. The results show that the optimal damping coefficients and stiffness of these three connected structure control systems show a downward trend with the rise of the damping story. Among them, the optimal damping coefficients are relatively stable, while the optimal stiffness changes greatly; When the damping story is set on the lower floors, the connected structure can get a relatively good damping effect, and the damping effect of the damping story located in the higher stiffness tower is better, while the value of the optimal parameter is larger; There is a certain difference in the damping effect of the left and right towers. The floor response of the left tower shows a more obvious trend that the lower the position of the damping layer, the better the effect is; while the right tower has a better damping effect on the floor near the damping story; The top response of the connected structure with damping story is significantly suppressed.